89862144 has 104 divisors (see below), whose sum is σ = 245336832. Its totient is φ = 29245440.

The previous prime is 89862109. The next prime is 89862163. The reversal of 89862144 is 44126898.

It is a junction number, because it is equal to n+sod(n) for n = 89862096 and 89862105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872397 + ... + 872499.

It is an arithmetic number, because the mean of its divisors is an integer number (2359008).

Almost surely, 2^89862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668416).

89862144 is an abundant number, since it is smaller than the sum of its proper divisors (155474688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89862144 is a wasteful number, since it uses less digits than its factorization.

89862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 89862144 is about 9479.5645469610. The cubic root of 89862144 is about 447.9115471629.

The spelling of 89862144 in words is "eighty-nine million, eight hundred sixty-two thousand, one hundred forty-four".